ספטמבר 19, 1990 - ספטמבר 19, 2023
Algebraic Geometry and Representation Theory Seminar
16:30 - 17:30
On the little Weyl group of a real spherical space (joint with Eitan Sayag)
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Let G be a connected reductive group defined over a field k of characteristic 0. Recently Knop and Krötz showed that one can attach a Weyl group to any algebraic homogeneous G-variety defined over k. This Weyl group is called the little Weyl group. In this talk I will discuss a geometric construction of the little Weyl group for a real spherical space G/H. Our technique is based on a fine analysis of limits of conjugates of the subalgebra Lie(H) along one-parameter subgroups in the Grassmannian of subspaces of Lie(G).